Kiss Me Deadly (1955) [Christina Bailey]: Tortured to death by thugs; we only see her legs kicking, then dangling limply off the edge of the table. Afterwards, her body is put in a car with the unconscious Ralph Meeker, and pushed over an embankment to make it look like an accident. Her body is shown again much later in the movie when Ralph visits the morgue.

The Untouchables: Jigsaw(1961) [Billie Mailer]: Killed (off-screen) by gangsters; we learn of her death when Walter Winchell's narration mentions that her body was found in the river.

Haunts of the Very Rich(1972) [Ellen Blunt]: Dies from a reaction to a rabies shot after being bitten by a dog, shortly before the movie begins; the rest of the movie takes place in the afterlife. (Thanks to Amy)

Night Gallery: You Can't Get Help Like That Anymore(1972) [Mrs. Fulton]: Killed (off-screen) by Lana Wood after Cloris attacks Lana; the scene fades to black with Cloris screaming. Her body is later shown in the robot factory, after the robots have taken over and put their owners on display.

High Anxiety (1978) [Nurse Charlotte Diesel]: Falls out of a tower when she attacks Mel Brooks and he ducks out of the way; we see her falling towards the ground in a parody of Jean Corbett's fall from Vertigo. (Thanks to Garr)

Hansel and Gretel(1988) [The Witch]: Burned to death when Hugh Pollard pushes her into her own oven. (I haven't seen this version, but we all know the fairy tale...) (Thanks to PortsGuy and Hamish)

Twice in a Lifetime: Grandma's Shoes(2000) [Ruth Harper]: Dies of old age/natural causes; her spirit is given a chance to go back in time and undo the death of her brother (Aaron Ashmore) many years before.

Alex & Emma(2003) [Grandmother]: Dies of a heart attack (collapsing out of her wheelchair) in the story-within-the-story sequences. (Thanks to Hamish)

The Twilight Zone: It's Still a Good Life(2003) [Mrs. Fremont]: Wished into the cornfield (along with the rest of the townspeople) by her son (Bill Mumy). It's debatable whether this could be considered "death," but I thought I'd list it just in case. (Thanks to Christopher)